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6(x+1)=3(2x+6)-12
We simplify the equation to the form, which is simple to understand
6(x+1)=3(2x+6)-12
Reorder the terms in parentheses
+(+6x+6)=3*(2x+6)-12
Remove unnecessary parentheses
+6x+6=+3+*(+2x+6+)-12
Reorder the terms in parentheses
+6x+6=+(+6x+18)-12
Remove unnecessary parentheses
+6x+6=+6x+18-12
We move all terms containing x to the left and all other terms to the right.
+6x-6x=+18-12-6
We simplify left and right side of the equation.
0x=0
0=0
This equation is an identity, so all real numbers are solutions.
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